Amachine is used to produce precision tools. if the machine is in good condition today, then 90% of the time, it will be good condition tomorrow. if the machine is in bad condition today, then 80%of the time, it will be in bad condition tomorrow. if the machine is in good condition, it produces 100 tools per day.

1. describe this problem by using a markov chain and explain why it is a markov chain?
2. if the machine is in bad condition, it produces 60 tools per day. on the average, how many tools per day are produced?

Which statement best describes the variety of workplaces commonly found in the health science career cluster? a. workplaces in this cluster include healthcare facilities such as hospitals, physician offices, and clinics. b. workplaces in this cluster include healthcare facilities, laboratories, and other environments such as offices or homes. c . workplaces in this cluster include nonprofit hospitals, government-run clinics, and private physicians' offices. d. workplaces in this cluster include private and nonprofit hospitals and clinics, and dentists' offices.

Variable rate cd’s = $90 treasury bills = $150 discount loans = $20 treasury notes = $100 fixed rate cds = $160 money market deposit accts. = $140 savings deposits = $90 fed funds borrowing = $40 variable rate mortgage loans $140 demand deposits = $40 primary reserves = $50 fixed rate loans = $210 fed funds lending = $50 equity capital = $120 a. develop a balance sheet from the above data. be sure to divide your balance sheet into rate-sensitive assets and liabilities as we did in class and in the examples. b. perform a standard gap analysis and a duration analysis using the above data if you have a 1.15% decrease in interest rates and an average duration of assets of 5.4 years and an average duration of liabilities of 3.8 years. c. indicate if this bank will remain solvent after the valuation changes. if so, indicate the new level of equity capital after the valuation changes. if not, indicate the amount of the shortage in equity capital.

In north korea, a farmer’s income is the same as a dentist’s income. in a country with a mixed or market economy, the difference between those two professions might be more than 5 times different. how can you explain the fact that individuals doing the same work in different countries do not earn comparable salaries?